Geometric Approach to Fermat’s Enigma

Geometric Approach to Fermat’s Enigma

This book presents a geometrical reasoning to show how to verify a simplified version of the Fermat's Theorem, restricted to the case in which the numbers a, b, and c form a Pythagorean triple, that is they satisfy the relation a^2 + b^2 = c^2. This view of Fermat’s Enigma makes use mainly of Euclidean geometry and basic arithmetics, “getting us back” to the Fermat’s era when mathematics was not yet the mature science it is today. No attempt of any kind to demonstrate mathematically the FLT but an exposition of facts as the latin word demonstratio in Roman Law suggests to mean. Some observation about the misleading habit to say square to mean of second power or power 2 , are taken into consideration. Starting from Pappo’s geometric proof of Pythagoras’s Theorem, attention is focused on rectangles rather than on cubes and hypercubes, remaining in 2D domain instead of jumping in 3D and beyond. The many drawings reported have been generated by means of a computer application properly implemented, able to show in real time demos different situations for any P-Triple with any exponent. For adults and experts .